scholarly journals On normal subgroups of Chevalley groups over commutative rings

1986 ◽  
Vol 38 (2) ◽  
pp. 219-230 ◽  
Author(s):  
Leonid N. Vaserstein
Keyword(s):  
Commutative Rings ◽  
Normal Subgroups ◽  
Chevalley Groups

Normality in Elementary Subgroups of Chevalley Groups Over Rings

1976 ◽  
Vol 28 (2) ◽  
pp. 420-428 ◽  
Author(s):  
James F. Hurley
Keyword(s):  
Normal Subgroup ◽  
Commutative Ring ◽  
Lie Algebra ◽  
Chevalley Group ◽  
Complex Field ◽  
Normal Subgroups ◽  
Chevalley Groups ◽  
Simple Lie Algebra ◽  
Elementary Subgroup ◽  
Finite Dimensional

In [6] we have constructed certain normal subgroups G7 of the elementary subgroup GR of the Chevalley group G(L, R) over R corresponding to a finite dimensional simple Lie algebra L over the complex field, where R is a commutative ring with identity. The method employed was to augment somewhat the generators of the elementary subgroup EI of G corresponding to an ideal I of the underlying Chevalley algebra LR;EI is thus the group generated by all xr(t) in G having the property that ter ⊂ I. In [6, § 5] we noted that in general EI actually had to be enlarged for a normal subgroup of GR to be obtained.

Chevalley groups over commutative rings: I. Elementary calculations

1996 ◽  
Vol 45 (1) ◽  
pp. 73-113 ◽  
Author(s):  
Nikolai Vavilov ◽  
Eugene Plotkin
Keyword(s):  
Commutative Rings ◽  
Chevalley Groups
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